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SURE Guided Posterior Sampling: Trajectory Correction for Diffusion-Based Inverse Problems
Minwoo Kim, Hongki Lim
Diffusion models have emerged as powerful learned priors for solving inverse problems. However, current iterative solving approaches which alternate between diffusion sampling and…
Robust and Differentially Private Principal Component Analysis
Minwoo Kim, Sungkyu Jung
Recent advances have sparked significant interest in the development of privacy-preserving Principal Component Analysis (PCA). However, many existing approaches rely on restrictive…
A scalable quantum-neural hybrid variational algorithm for ground state estimation
Minwoo Kim, Kyoung Keun Park, Uihwan Jeong +2
We propose the unitary variational quantum-neural hybrid eigensolver (U-VQNHE), which improves upon the original VQNHE by enforcing unitary neural transformations. The non-unitary…
Quantum Linear Multistep Method for Using a Quantum Oracle with Differential Equations
Kyoung Keun Park, Kwangyeul Choi, Minwoo Kim +2
Differential equations are a crucial mathematical tool used in a wide range of applications. If the solution to an initial value problem (IVP) can be transformed into an oracle, it…